A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity

Wan Se Kim

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 3, page 425-431
  • ISSN: 0010-2628

Abstract

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The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.

How to cite

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Kim, Wan Se. "A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 425-431. <http://eudml.org/doc/247492>.

@article{Kim1993,
abstract = {The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.},
author = {Kim, Wan Se},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {periodic-Dirichlet problem; semilinear heat equation; superlinear growth; existence of weak solution; periodic-Dirichlet problem; semilinear heat equations; superlinear growth},
language = {eng},
number = {3},
pages = {425-431},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity},
url = {http://eudml.org/doc/247492},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Kim, Wan Se
TI - A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 425
EP - 431
AB - The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.
LA - eng
KW - periodic-Dirichlet problem; semilinear heat equation; superlinear growth; existence of weak solution; periodic-Dirichlet problem; semilinear heat equations; superlinear growth
UR - http://eudml.org/doc/247492
ER -

References

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  1. Brezis H., Nirenberg L., Characterization of the range of some nonlinear operators and application to boundary value problem, Ann. Scuola Norm Pisa (4) 5 (1978), 225-326. (1978) MR0513090
  2. Fučík S., Solvability of Nonlinear Equations and Boundary Value Problems, Pediel, Dordrecht, 1980. MR0620638
  3. Nkashama M.N., Willem M., Periodic solutions of the boundary value problem for the nonlinear heat equation, Bull. Austral. Math. Soc. 29 (1984), 99-110. (1984) Zbl0555.35062MR0753565
  4. Sanchez L., A note on periodic solutions of heat equation with a superlinear term, Nonlinear Functional Anal. and its Appl., S.P. Singh (ed.), D. Reidel Publ. Co., 1986. Zbl0611.35046MR0852596
  5. Šťastnová, Fučík S., Note to periodic solvability of the boundary value problem for nonlinear heat equation, Comment. Math. Univ. Carolinae 18 (1977), 735-740. (1977) MR0499739
  6. Vejvoda O. and al., Partial Differential Equations, Time Periodic Solutions, Sijthoff Noordhoff, 1981. 

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